Calculus Courses and Certifications

AP Calculus AB & BC: Homeschool Curriculum

A homeschool-focused AP Calculus AB and BC review course covering core calculus concepts through concise video and text lessons and practice quizzes.

• Study.com
• 18 hours
• Self-Paced
• Paid Course

AP Calculus AB & BC Textbook

A comprehensive AP Calculus AB and BC textbook replacement with interactive lessons for student study and classroom teaching.

• Study.com
• 19 hours 4 minutes
• Self-Paced
• Paid Course

Calculus 1A: Differentiation

Evaluate limits graphically and numerically, compute derivatives of any function, sketch curves by hand, make linear and quadratic approximations, and solve optimization and related rates problems.

• MITx Online
• 14 weeks, 8-10 hours/week
• Self-Paced
• Free Online Course

Calculus 1B: Integration

Compute integrals symbolically and numerically, interpret them as area and accumulation, link them to derivatives, and solve differential equation models of physical phenomena.

• MITx Online
• 15 weeks, 5-10 hours/week
• Self-Paced
• Free Online Course

Differential Calculus

Learn what the derivative is, how to compute it, and when to apply it to real problems, then move on to integration, coordinate systems, and infinite series.

• MITx Online
• 11 weeks, 6-10 hours/week
• Self-Paced
• Free Online Course

Limits

You should start the course with a foundation in algebra and the basics of functions, including graphing equations. When you finish, you'll be well-prepared to learn about derivatives and integrals.

• Brilliant
• Self-Paced
• Paid Course

Pre-University Calculus

24 ratings at edX

Prepare for introductory calculus courses by reviewing functions, equations, differentiation, integration and analytic geometry.

• edX
• 8 weeks, 6-8 hours a week
• Self-Paced
• Free Online Course (Audit)

3Blue1Brown

Integration and the Fundamental Theorem of Calculus

An intuitive, visual explanation of why integrals measure signed area and reverse differentiation, using a moving car’s velocity to motivate the fundamental theorem of calculus.

• YouTube
• 21 minutes
• Self-Paced
• Free Video

Professor Leonard

Calculus 2 - The Natural Log Function

Explore the natural log function in this focused Calculus 2 lecture.

• YouTube
• 2 hours 23 minutes
• Self-Paced
• Free Video

Professor Leonard

Calculus 1 - Properties of Limits - Techniques of Limit Computation

Learn the properties of limits and techniques for computing limits in this introductory Calculus 1 lecture.

• YouTube
• 3 hours
• Self-Paced
• Free Video

The Organic Chemistry Tutor

Concavity, Inflection Points, Increasing Decreasing, First and Second Derivative - Calculus

Use first and second derivative tests to analyze a function’s increasing/decreasing behavior, local extrema, concavity, and inflection points.

• YouTube
• 54 minutes
• Self-Paced
• Free Video

Math with Professor V

Sequences and Series - Complete Calculus and Precalculus Course

A Calculus II problem-solving course centers on choosing the right test for convergence, then builds toward power series and Taylor approximations.

• YouTube
• 1 day 6 hours 32 minutes
• Self-Paced
• Free Video

Wrath of Math

Calculus 1 Exercises

Worked problems build fluency with limits and derivative rules, from squeeze-theorem and trigonometric limits to repeated chain-rule applications.

• YouTube
• 1 day 13 hours 44 minutes
• Self-Paced
• Free Video

Eddie Woo

Differential Calculus

Builds derivative rules for exponential, logarithmic, and trigonometric functions from first principles and visual intuition, then applies them to tangents and curve behavior.

• YouTube
• 14 hours 33 minutes
• Self-Paced
• Free Video

Krista King

Calculus II - Integrals, Applications, Polar and Parametric Equations, Sequences and Series

Worked integration techniques are carried into problems in geometry, motion, force, and other applications.

• YouTube
• 1 day 8 hours 9 minutes
• Self-Paced
• Free Video